What is the Greatest Common Factor of 77542 and 77549?

Greatest common factor (GCF) of 77542 and 77549 is 1.

GCF(77542,77549) = 1

We will now calculate the prime factors of 77542 and 77549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77542 and 77549.

How to find the GCF of 77542 and 77549?

We will first find the prime factorization of 77542 and 77549. After we will calculate the factors of 77542 and 77549 and find the biggest common factor number .

Step-1: Prime Factorization of 77542

Prime factors of 77542 are 2, 137, 283. Prime factorization of 77542 in exponential form is:

77542 = 2¹ × 137¹ × 283¹

Step-2: Prime Factorization of 77549

Prime factors of 77549 are 77549. Prime factorization of 77549 in exponential form is:

77549 = 77549¹

Step-3: Factors of 77542

List of positive integer factors of 77542 that divides 77542 without a remainder.

1, 2, 137, 274, 283, 566, 38771

Step-4: Factors of 77549

List of positive integer factors of 77549 that divides 77542 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77542 and 77549. The biggest common factor number is the GCF number.
So the greatest common factor 77542 and 77549 is 1.

Also check out the Least Common Multiple of 77542 and 77549